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111032103112 = 237223116310589
BaseRepresentation
bin110011101101000000…
…1110111000011001000
3101121121000111020200021
41213122001313003020
53304343204244422
6123001335150224
711010323206300
oct1473201670310
9347530436607
10111032103112
11430a7800497
1219628515374
13a6162973c8
1455342ca600
152d4ca1adc7
hex19da0770c8

111032103112 has 96 divisors (see below), whose sum is σ = 252945115200. Its totient is φ = 45472834176.

The previous prime is 111032103107. The next prime is 111032103113. The reversal of 111032103112 is 211301230111.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (111032103113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10480314 + ... + 10490902.

It is an arithmetic number, because the mean of its divisors is an integer number (2634844950).

Almost surely, 2111032103112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111032103112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126472557600).

111032103112 is an abundant number, since it is smaller than the sum of its proper divisors (141913012088).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

111032103112 is a wasteful number, since it uses less digits than its factorization.

111032103112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11795 (or 11784 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 111032103112 its reverse (211301230111), we get a palindrome (322333333223).

The spelling of 111032103112 in words is "one hundred eleven billion, thirty-two million, one hundred three thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 23 28 46 49 56 92 98 161 184 196 322 392 644 1127 1163 1288 2254 2326 4508 4652 8141 9016 9304 10589 16282 21178 26749 32564 42356 53498 56987 65128 74123 84712 106996 113974 148246 187243 213992 227948 243547 296492 374486 455896 487094 518861 592984 748972 974188 1037722 1310701 1497944 1704829 1948376 2075444 2621402 3409658 4150888 5242804 6819316 10485608 11933803 12315007 13638632 23867606 24630014 47735212 49260028 86205049 95470424 98520056 172410098 283245161 344820196 566490322 603435343 689640392 1132980644 1206870686 1982716127 2265961288 2413741372 3965432254 4827482744 7930864508 13879012889 15861729016 27758025778 55516051556 111032103112